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Finding the Third Proportional to 34,640,682 and 48,429,711

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Solution

The third proportional to 34,640,682 and 48,429,711 is: 67,707,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640,682 : 48,429,711 = 48,429,711 : x
  2. Step 2: Convert to fraction form
    34,640,682/48,429,711 = 48,429,711/x
  3. Step 3: Cross multiply
    34,640,682x = 48,429,711 × 48,429,711
  4. Step 4: Simplify right side
    34,640,682x = 2,345,436,907,543,521
  5. Step 5: Solve for x
    x = 2,345,436,907,543,521/34,640,682
  6. Step 6: Final answer
    x = 67,707,584.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.